We theoretically investigate the collective excitations of a one-dimensional Bose–Einstein condensate with both interparticle interaction and quantum fluctuation effect in an anharmonic trap. We derive the coupled equations of motions for the center-of-mass coordinate of the condensate and its width by using variational approaches. We find a reentrant behavior of the breathing mode and demonstrate that the anharmonic distortion may give rise to the collapse and revival of the collective excitations.

中文翻译：

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具有量子涨落效应的一维玻色气体的低位集体模式

我们从理论上研究了一维玻色-爱因斯坦凝聚体在非谐阱中具有粒子间相互作用和量子涨落效应的集体激发。我们通过使用变分方法推导出冷凝物质心坐标及其宽度的耦合运动方程。我们发现了呼吸模式的重入行为，并证明了非谐波失真可能会导致集体激发的崩溃和复兴。